QuestionAugust 25, 2025

10. Staying Sharp What is the 7^th term in the sequence below? 3,12,48,192,ldots Answer: Evidence for Answer:

10. Staying Sharp What is the 7^th term in the sequence below? 3,12,48,192,ldots Answer: Evidence for Answer:
10. Staying Sharp What is the 7^th term in the sequence below? 3,12,48,192,ldots Answer: Evidence for Answer:

Solution
4.4(231 votes)

Answer

12288 Explanation 1. Identify the pattern Each term is multiplied by 4 to get the next term. 2. Calculate the 7^{th} term Start with the first term, 3, and multiply by 4 six times: 3 \times 4^6. 3. Compute 4^6 4^6 = 4096 4. Multiply to find the 7^{th} term 3 \times 4096 = 12288

Explanation

1. Identify the pattern<br /> Each term is multiplied by 4 to get the next term.<br /><br />2. Calculate the $7^{th}$ term<br /> Start with the first term, $3$, and multiply by $4$ six times: $3 \times 4^6$.<br /><br />3. Compute $4^6$<br /> $4^6 = 4096$<br /><br />4. Multiply to find the $7^{th}$ term<br /> $3 \times 4096 = 12288$
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